Which outcome reduces estimation time during triangulation when Euclidean transformations are simplified with Al-Khwarizmi's algebraic techniques during celestial positioning using planar astrolabes?

💡 Explanation

Fewer calculation steps occur because the algebraic techniques allowed simplification of complex equations used for coordinate transformations, enabling a more rapid geometric solution using modular arithmetic on astrolabes and spherical coordinates, rather than brute-force trigonometric calculations.

• Which inaccuracy increased in celestial navigation when using a sextant after prolonged voyages?
• Which outcome results from attempting structural calculations using incomplete Islamic geometric algebra?
• Which navigational error increased when using a damaged 18th-century sextant with a warped frame?
• Which structural risk increases for a Viking longship that becomes waterlogged?
• Which outcome frequently occurred during the Han dynasty when iron crossbow triggers experienced prolonged periods of high humidity?
• Which miscalculation results due to thermal expansion within early astrolabes?